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Finding the Fourth Proportional to 164,716.74, 227,303.01 and 89,263.62

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Solution

The fourth proportional to 164,716.74, 227,303.01 and 89,263.62 is: 123,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,716.74 : 227,303.01 = 89,263.62 : x
  2. Step 2: Convert to fraction form
    164,716.74/227,303.01 = 89,263.62/x
  3. Step 3: Cross multiply
    164,716.74x = 227,303.01 × 89,263.62
  4. Step 4: Simplify right side
    164,716.74x = 20,289,889,509.50
  5. Step 5: Solve for x
    x = 20,289,889,509.50/164,716.74
  6. Step 6: Final answer
    x = 123,180.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.